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ra1l [238]
2 years ago
12

Real Numbers: Mastery Test

Mathematics
1 answer:
quester [9]2 years ago
4 0

Answer:

exuse me but i dont see the questions

Step-by-step explanation:

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Let f(x) be a func. satisfying f(-x)=f(x) for all real x.if f"(x) exist, find its value.
OverLord2011 [107]

Answer:

f''(x)=f''(-x)

Step-by-step explanation:

A function satisfying the equation f(x)=f(-x) is said to be an even function. This denomination comes from the fact that the same relation is satisfied for functions of the form x^{n} with n even. Observe that if f is twice differentiable we can derivate using the chaing rule as follows:

f(x)=f(-x) implies f'(x)=f'(-x)\cdot (-1)=-f'(-x)

Applying the chain rule again we have:

f'(x)=-f'(-x) implies f''(x)=-f''(-x)\cdot (-1)=f''(-x)

So we have that function f''(x) is also an even function.

4 0
4 years ago
Aiden invested $43,000 in an account paying an interest rate of 9 % compounded
Shkiper50 [21]

Answer:

4.8 i think

Step-by-step explanation: i saw once it said dont worry bout the 0s just do the 43 divided by 9 and i think thats it

5 0
3 years ago
Write a single transformation that maps ABC onto A' B' C'
blsea [12.9K]

9514 1404 393

Answer:

  Either of ...

  • (x, y) ⇒ (-x, -y)
  • Rotation 180° about the origin

Step-by-step explanation:

There are at least two ways to express the transformation that maps each coordinate to its opposite.

  1. reflection across the origin: (x, y) ⇒ (-x,-y)

  2. rotation 180° (either direction) about the origin.

Take your pick.

4 0
3 years ago
Is 12.54 greater than 12.539?
Damm [24]

Answer:

yes

Step-by-step explanation:

12.54

>

12.53

reason why is because of the 4>5

8 0
3 years ago
Read 2 more answers
The circumference of the base of a cylinder is 24π mm. A similar cylinder has a base with circumference of 60π mm. The lateral a
earnstyle [38]
Given that the figures are similar polygons, the ratio of their ratios should be equal to the square of the ratio of their circumference. If we let x be the lateral area of the smaller cylinder then,
                        (x/210π) = (24π/60π)²
The value of x from the equation is, 
                                     x = 33.6π
Thus, the area of the smaller cylinder is equal to 33.6π mm². 
6 0
4 years ago
Read 2 more answers
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